What is the Least Common Multiple of 92070 and 92085?

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 92070 and 92085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92070 and 92085, than apply into the LCM equation.

GCF(92070,92085) = 15
LCM(92070,92085) = ( 92070 × 92085) / 15
LCM(92070,92085) = 8478265950 / 15
LCM(92070,92085) = 565217730

Least Common Multiple (LCM) of 92070 and 92085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92070 and 92085. First we will calculate the prime factors of 92070 and 92085.

Prime Factorization of 92070

Prime Factorization of 92085

Now multiplying the highest exponent prime factors to calculate the LCM of 92070 and 92085.

LCM(92070,92085) = 2¹ × 3³ × 5¹ × 11¹ × 31¹ × 7¹ × 877¹
LCM(92070,92085) = 565217730