What is the Least Common Multiple of 77624 and 77628?

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 77624 and 77628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77624 and 77628, than apply into the LCM equation.

GCF(77624,77628) = 4
LCM(77624,77628) = ( 77624 × 77628) / 4
LCM(77624,77628) = 6025795872 / 4
LCM(77624,77628) = 1506448968

Least Common Multiple (LCM) of 77624 and 77628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77624 and 77628. First we will calculate the prime factors of 77624 and 77628.

Prime Factorization of 77624

Prime Factorization of 77628

Now multiplying the highest exponent prime factors to calculate the LCM of 77624 and 77628.

LCM(77624,77628) = 2³ × 31¹ × 313¹ × 3¹ × 6469¹
LCM(77624,77628) = 1506448968