What is the Least Common Multiple of 74624 and 74628?

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 74628 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 74628, than apply into the LCM equation.

GCF(74624,74628) = 4
LCM(74624,74628) = ( 74624 × 74628) / 4
LCM(74624,74628) = 5569039872 / 4
LCM(74624,74628) = 1392259968

Least Common Multiple (LCM) of 74624 and 74628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74624 and 74628. First we will calculate the prime factors of 74624 and 74628.

Prime Factorization of 74624

Prime Factorization of 74628

Now multiplying the highest exponent prime factors to calculate the LCM of 74624 and 74628.

LCM(74624,74628) = 2⁷ × 11¹ × 53¹ × 3³ × 691¹
LCM(74624,74628) = 1392259968