What is the Least Common Multiple of 49038 and 49056?

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 49038 and 49056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49038 and 49056, than apply into the LCM equation.

GCF(49038,49056) = 6
LCM(49038,49056) = ( 49038 × 49056) / 6
LCM(49038,49056) = 2405608128 / 6
LCM(49038,49056) = 400934688

Least Common Multiple (LCM) of 49038 and 49056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49038 and 49056. First we will calculate the prime factors of 49038 and 49056.

Prime Factorization of 49038

Prime Factorization of 49056

Now multiplying the highest exponent prime factors to calculate the LCM of 49038 and 49056.

LCM(49038,49056) = 2⁵ × 3¹ × 11¹ × 743¹ × 7¹ × 73¹
LCM(49038,49056) = 400934688