What is the Least Common Multiple of 92700 and 92714?

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 92700 and 92714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92700 and 92714, than apply into the LCM equation.

GCF(92700,92714) = 2
LCM(92700,92714) = ( 92700 × 92714) / 2
LCM(92700,92714) = 8594587800 / 2
LCM(92700,92714) = 4297293900

Least Common Multiple (LCM) of 92700 and 92714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92700 and 92714. First we will calculate the prime factors of 92700 and 92714.

Prime Factorization of 92700

Prime Factorization of 92714

Now multiplying the highest exponent prime factors to calculate the LCM of 92700 and 92714.

LCM(92700,92714) = 2² × 3² × 5² × 103¹ × 151¹ × 307¹
LCM(92700,92714) = 4297293900