What is the Least Common Multiple of 49032 and 49052?

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 49032 and 49052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49032 and 49052, than apply into the LCM equation.

GCF(49032,49052) = 4
LCM(49032,49052) = ( 49032 × 49052) / 4
LCM(49032,49052) = 2405117664 / 4
LCM(49032,49052) = 601279416

Least Common Multiple (LCM) of 49032 and 49052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49032 and 49052. First we will calculate the prime factors of 49032 and 49052.

Prime Factorization of 49032

Prime Factorization of 49052

Now multiplying the highest exponent prime factors to calculate the LCM of 49032 and 49052.

LCM(49032,49052) = 2³ × 3³ × 227¹ × 12263¹
LCM(49032,49052) = 601279416