What is the Least Common Multiple of 74624 and 74639?

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 of 74624 and 74639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74624 and 74639, than apply into the LCM equation.

GCF(74624,74639) = 1
LCM(74624,74639) = ( 74624 × 74639) / 1
LCM(74624,74639) = 5569860736 / 1
LCM(74624,74639) = 5569860736

Least Common Multiple (LCM) of 74624 and 74639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74624 and 74639. First we will calculate the prime factors of 74624 and 74639.

Prime Factorization of 74624

Prime Factorization of 74639

Now multiplying the highest exponent prime factors to calculate the LCM of 74624 and 74639.

LCM(74624,74639) = 2⁷ × 11¹ × 53¹ × 101¹ × 739¹
LCM(74624,74639) = 5569860736