What is the Least Common Multiple of 19536 and 19552?

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 19536 and 19552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19536 and 19552, than apply into the LCM equation.

GCF(19536,19552) = 16
LCM(19536,19552) = ( 19536 × 19552) / 16
LCM(19536,19552) = 381967872 / 16
LCM(19536,19552) = 23872992

Least Common Multiple (LCM) of 19536 and 19552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19536 and 19552. First we will calculate the prime factors of 19536 and 19552.

Prime Factorization of 19536

Prime Factorization of 19552

Now multiplying the highest exponent prime factors to calculate the LCM of 19536 and 19552.

LCM(19536,19552) = 2⁵ × 3¹ × 11¹ × 37¹ × 13¹ × 47¹
LCM(19536,19552) = 23872992