What is the Least Common Multiple of 53152 and 53172?

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 53152 and 53172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53152 and 53172, than apply into the LCM equation.

GCF(53152,53172) = 4
LCM(53152,53172) = ( 53152 × 53172) / 4
LCM(53152,53172) = 2826198144 / 4
LCM(53152,53172) = 706549536

Least Common Multiple (LCM) of 53152 and 53172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53152 and 53172. First we will calculate the prime factors of 53152 and 53172.

Prime Factorization of 53152

Prime Factorization of 53172

Now multiplying the highest exponent prime factors to calculate the LCM of 53152 and 53172.

LCM(53152,53172) = 2⁵ × 11¹ × 151¹ × 3² × 7¹ × 211¹
LCM(53152,53172) = 706549536