What is the Least Common Multiple of 77548 and 77568?

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 77548 and 77568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77548 and 77568, than apply into the LCM equation.

GCF(77548,77568) = 4
LCM(77548,77568) = ( 77548 × 77568) / 4
LCM(77548,77568) = 6015243264 / 4
LCM(77548,77568) = 1503810816

Least Common Multiple (LCM) of 77548 and 77568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77548 and 77568. First we will calculate the prime factors of 77548 and 77568.

Prime Factorization of 77548

Prime Factorization of 77568

Now multiplying the highest exponent prime factors to calculate the LCM of 77548 and 77568.

LCM(77548,77568) = 2⁸ × 19387¹ × 3¹ × 101¹
LCM(77548,77568) = 1503810816