What is the Least Common Multiple of 77624 and 77642?

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 77642 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 77642, than apply into the LCM equation.

GCF(77624,77642) = 2
LCM(77624,77642) = ( 77624 × 77642) / 2
LCM(77624,77642) = 6026882608 / 2
LCM(77624,77642) = 3013441304

Least Common Multiple (LCM) of 77624 and 77642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77624 and 77642. First we will calculate the prime factors of 77624 and 77642.

Prime Factorization of 77624

Prime Factorization of 77642

Now multiplying the highest exponent prime factors to calculate the LCM of 77624 and 77642.

LCM(77624,77642) = 2³ × 31¹ × 313¹ × 38821¹
LCM(77624,77642) = 3013441304