What is the Least Common Multiple of 70887 and 70892?

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 70887 and 70892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70887 and 70892, than apply into the LCM equation.

GCF(70887,70892) = 1
LCM(70887,70892) = ( 70887 × 70892) / 1
LCM(70887,70892) = 5025321204 / 1
LCM(70887,70892) = 5025321204

Least Common Multiple (LCM) of 70887 and 70892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70887 and 70892. First we will calculate the prime factors of 70887 and 70892.

Prime Factorization of 70887

Prime Factorization of 70892

Now multiplying the highest exponent prime factors to calculate the LCM of 70887 and 70892.

LCM(70887,70892) = 3¹ × 23629¹ × 2² × 37¹ × 479¹
LCM(70887,70892) = 5025321204