What is the Least Common Multiple of 77648 and 77658?

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 77648 and 77658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77648 and 77658, than apply into the LCM equation.

GCF(77648,77658) = 2
LCM(77648,77658) = ( 77648 × 77658) / 2
LCM(77648,77658) = 6029988384 / 2
LCM(77648,77658) = 3014994192

Least Common Multiple (LCM) of 77648 and 77658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77648 and 77658. First we will calculate the prime factors of 77648 and 77658.

Prime Factorization of 77648

Prime Factorization of 77658

Now multiplying the highest exponent prime factors to calculate the LCM of 77648 and 77658.

LCM(77648,77658) = 2⁴ × 23¹ × 211¹ × 3¹ × 7¹ × 43²
LCM(77648,77658) = 3014994192