What is the Least Common Multiple of 92724 and 92739?

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 92724 and 92739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92724 and 92739, than apply into the LCM equation.

GCF(92724,92739) = 3
LCM(92724,92739) = ( 92724 × 92739) / 3
LCM(92724,92739) = 8599131036 / 3
LCM(92724,92739) = 2866377012

Least Common Multiple (LCM) of 92724 and 92739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92724 and 92739. First we will calculate the prime factors of 92724 and 92739.

Prime Factorization of 92724

Prime Factorization of 92739

Now multiplying the highest exponent prime factors to calculate the LCM of 92724 and 92739.

LCM(92724,92739) = 2² × 3¹ × 7727¹ × 19¹ × 1627¹
LCM(92724,92739) = 2866377012