What is the Least Common Multiple of 520 and 534?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 520 and 534 is 138840.
LCM(520,534) = 138840
Least Common Multiple of 520 and 534 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 520 and 534, than apply into the LCM equation.
GCF(520,534) = 2
LCM(520,534) = ( 520 × 534) / 2
LCM(520,534) = 277680 / 2
LCM(520,534) = 138840
Least Common Multiple (LCM) of 520 and 534 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 520 and 534. First we will calculate the prime factors of 520 and 534.
Prime Factorization of 520
Prime factors of 520 are 2, 5, 13. Prime factorization of 520 in exponential form is:
520 = 23 × 51 × 131
Prime Factorization of 534
Prime factors of 534 are 2, 3, 89. Prime factorization of 534 in exponential form is:
534 = 21 × 31 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 520 and 534.
LCM(520,534) = 23 × 51 × 131 × 31 × 891
LCM(520,534) = 138840
Related Least Common Multiples of 520
- LCM of 520 and 524
- LCM of 520 and 525
- LCM of 520 and 526
- LCM of 520 and 527
- LCM of 520 and 528
- LCM of 520 and 529
- LCM of 520 and 530
- LCM of 520 and 531
- LCM of 520 and 532
- LCM of 520 and 533
- LCM of 520 and 534
- LCM of 520 and 535
- LCM of 520 and 536
- LCM of 520 and 537
- LCM of 520 and 538
- LCM of 520 and 539
- LCM of 520 and 540
Related Least Common Multiples of 534
- LCM of 534 and 538
- LCM of 534 and 539
- LCM of 534 and 540
- LCM of 534 and 541
- LCM of 534 and 542
- LCM of 534 and 543
- LCM of 534 and 544
- LCM of 534 and 545
- LCM of 534 and 546
- LCM of 534 and 547
- LCM of 534 and 548
- LCM of 534 and 549
- LCM of 534 and 550
- LCM of 534 and 551
- LCM of 534 and 552
- LCM of 534 and 553
- LCM of 534 and 554