What is the Least Common Multiple of 49056 and 49072?

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 49056 and 49072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49056 and 49072, than apply into the LCM equation.

GCF(49056,49072) = 16
LCM(49056,49072) = ( 49056 × 49072) / 16
LCM(49056,49072) = 2407276032 / 16
LCM(49056,49072) = 150454752

Least Common Multiple (LCM) of 49056 and 49072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49056 and 49072. First we will calculate the prime factors of 49056 and 49072.

Prime Factorization of 49056

Prime Factorization of 49072

Now multiplying the highest exponent prime factors to calculate the LCM of 49056 and 49072.

LCM(49056,49072) = 2⁵ × 3¹ × 7¹ × 73¹ × 3067¹
LCM(49056,49072) = 150454752