What is the Least Common Multiple of 73046 and 73056?

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 73046 and 73056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73046 and 73056, than apply into the LCM equation.

GCF(73046,73056) = 2
LCM(73046,73056) = ( 73046 × 73056) / 2
LCM(73046,73056) = 5336448576 / 2
LCM(73046,73056) = 2668224288

Least Common Multiple (LCM) of 73046 and 73056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73046 and 73056. First we will calculate the prime factors of 73046 and 73056.

Prime Factorization of 73046

Prime Factorization of 73056

Now multiplying the highest exponent prime factors to calculate the LCM of 73046 and 73056.

LCM(73046,73056) = 2⁵ × 36523¹ × 3¹ × 761¹
LCM(73046,73056) = 2668224288