What is the Least Common Multiple of 47124 and 47138?

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 47124 and 47138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47124 and 47138, than apply into the LCM equation.

GCF(47124,47138) = 14
LCM(47124,47138) = ( 47124 × 47138) / 14
LCM(47124,47138) = 2221331112 / 14
LCM(47124,47138) = 158666508

Least Common Multiple (LCM) of 47124 and 47138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47124 and 47138. First we will calculate the prime factors of 47124 and 47138.

Prime Factorization of 47124

Prime Factorization of 47138

Now multiplying the highest exponent prime factors to calculate the LCM of 47124 and 47138.

LCM(47124,47138) = 2² × 3² × 7² × 11¹ × 17¹ × 13¹ × 37¹
LCM(47124,47138) = 158666508