What is the Least Common Multiple of 59138 and 59153?

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 59138 and 59153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59138 and 59153, than apply into the LCM equation.

GCF(59138,59153) = 1
LCM(59138,59153) = ( 59138 × 59153) / 1
LCM(59138,59153) = 3498190114 / 1
LCM(59138,59153) = 3498190114

Least Common Multiple (LCM) of 59138 and 59153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59138 and 59153. First we will calculate the prime factors of 59138 and 59153.

Prime Factorization of 59138

Prime Factorization of 59153

Now multiplying the highest exponent prime factors to calculate the LCM of 59138 and 59153.

LCM(59138,59153) = 2¹ × 29569¹ × 149¹ × 397¹
LCM(59138,59153) = 3498190114