What is the Least Common Multiple of 47149 and 47157?

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 47149 and 47157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47149 and 47157, than apply into the LCM equation.

GCF(47149,47157) = 1
LCM(47149,47157) = ( 47149 × 47157) / 1
LCM(47149,47157) = 2223405393 / 1
LCM(47149,47157) = 2223405393

Least Common Multiple (LCM) of 47149 and 47157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47149 and 47157. First we will calculate the prime factors of 47149 and 47157.

Prime Factorization of 47149

Prime Factorization of 47157

Now multiplying the highest exponent prime factors to calculate the LCM of 47149 and 47157.

LCM(47149,47157) = 47149¹ × 3¹ × 11¹ × 1429¹
LCM(47149,47157) = 2223405393