What is the Least Common Multiple of 49152 and 49172?

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 49152 and 49172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49152 and 49172, than apply into the LCM equation.

GCF(49152,49172) = 4
LCM(49152,49172) = ( 49152 × 49172) / 4
LCM(49152,49172) = 2416902144 / 4
LCM(49152,49172) = 604225536

Least Common Multiple (LCM) of 49152 and 49172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49152 and 49172. First we will calculate the prime factors of 49152 and 49172.

Prime Factorization of 49152

Prime Factorization of 49172

Now multiplying the highest exponent prime factors to calculate the LCM of 49152 and 49172.

LCM(49152,49172) = 2¹⁴ × 3¹ × 19¹ × 647¹
LCM(49152,49172) = 604225536