What is the Least Common Multiple of 618 and 624?
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 618 and 624 is 64272.
LCM(618,624) = 64272
Least Common Multiple of 618 and 624 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 618 and 624, than apply into the LCM equation.
GCF(618,624) = 6
LCM(618,624) = ( 618 × 624) / 6
LCM(618,624) = 385632 / 6
LCM(618,624) = 64272
Least Common Multiple (LCM) of 618 and 624 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 624. First we will calculate the prime factors of 618 and 624.
Prime Factorization of 618
Prime factors of 618 are 2, 3, 103. Prime factorization of 618 in exponential form is:
618 = 21 × 31 × 1031
Prime Factorization of 624
Prime factors of 624 are 2, 3, 13. Prime factorization of 624 in exponential form is:
624 = 24 × 31 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 624.
LCM(618,624) = 24 × 31 × 1031 × 131
LCM(618,624) = 64272
Related Least Common Multiples of 618
- LCM of 618 and 622
- LCM of 618 and 623
- LCM of 618 and 624
- LCM of 618 and 625
- LCM of 618 and 626
- LCM of 618 and 627
- LCM of 618 and 628
- LCM of 618 and 629
- LCM of 618 and 630
- LCM of 618 and 631
- LCM of 618 and 632
- LCM of 618 and 633
- LCM of 618 and 634
- LCM of 618 and 635
- LCM of 618 and 636
- LCM of 618 and 637
- LCM of 618 and 638
Related Least Common Multiples of 624
- LCM of 624 and 628
- LCM of 624 and 629
- LCM of 624 and 630
- LCM of 624 and 631
- LCM of 624 and 632
- LCM of 624 and 633
- LCM of 624 and 634
- LCM of 624 and 635
- LCM of 624 and 636
- LCM of 624 and 637
- LCM of 624 and 638
- LCM of 624 and 639
- LCM of 624 and 640
- LCM of 624 and 641
- LCM of 624 and 642
- LCM of 624 and 643
- LCM of 624 and 644