What is the Least Common Multiple of 415 and 427?
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 415 and 427 is 177205.
LCM(415,427) = 177205
Least Common Multiple of 415 and 427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 415 and 427, than apply into the LCM equation.
GCF(415,427) = 1
LCM(415,427) = ( 415 × 427) / 1
LCM(415,427) = 177205 / 1
LCM(415,427) = 177205
Least Common Multiple (LCM) of 415 and 427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 415 and 427. First we will calculate the prime factors of 415 and 427.
Prime Factorization of 415
Prime factors of 415 are 5, 83. Prime factorization of 415 in exponential form is:
415 = 51 × 831
Prime Factorization of 427
Prime factors of 427 are 7, 61. Prime factorization of 427 in exponential form is:
427 = 71 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 415 and 427.
LCM(415,427) = 51 × 831 × 71 × 611
LCM(415,427) = 177205
Related Least Common Multiples of 415
- LCM of 415 and 419
- LCM of 415 and 420
- LCM of 415 and 421
- LCM of 415 and 422
- LCM of 415 and 423
- LCM of 415 and 424
- LCM of 415 and 425
- LCM of 415 and 426
- LCM of 415 and 427
- LCM of 415 and 428
- LCM of 415 and 429
- LCM of 415 and 430
- LCM of 415 and 431
- LCM of 415 and 432
- LCM of 415 and 433
- LCM of 415 and 434
- LCM of 415 and 435
Related Least Common Multiples of 427
- LCM of 427 and 431
- LCM of 427 and 432
- LCM of 427 and 433
- LCM of 427 and 434
- LCM of 427 and 435
- LCM of 427 and 436
- LCM of 427 and 437
- LCM of 427 and 438
- LCM of 427 and 439
- LCM of 427 and 440
- LCM of 427 and 441
- LCM of 427 and 442
- LCM of 427 and 443
- LCM of 427 and 444
- LCM of 427 and 445
- LCM of 427 and 446
- LCM of 427 and 447