What is the Least Common Multiple of 53151 and 53157?

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 53151 and 53157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53151 and 53157, than apply into the LCM equation.

GCF(53151,53157) = 3
LCM(53151,53157) = ( 53151 × 53157) / 3
LCM(53151,53157) = 2825347707 / 3
LCM(53151,53157) = 941782569

Least Common Multiple (LCM) of 53151 and 53157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53151 and 53157. First we will calculate the prime factors of 53151 and 53157.

Prime Factorization of 53151

Prime Factorization of 53157

Now multiplying the highest exponent prime factors to calculate the LCM of 53151 and 53157.

LCM(53151,53157) = 3¹ × 7¹ × 2531¹ × 13¹ × 29¹ × 47¹
LCM(53151,53157) = 941782569