What is the Least Common Multiple of 92055 and 92070?

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 92055 and 92070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92055 and 92070, than apply into the LCM equation.

GCF(92055,92070) = 15
LCM(92055,92070) = ( 92055 × 92070) / 15
LCM(92055,92070) = 8475503850 / 15
LCM(92055,92070) = 565033590

Least Common Multiple (LCM) of 92055 and 92070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92055 and 92070. First we will calculate the prime factors of 92055 and 92070.

Prime Factorization of 92055

Prime Factorization of 92070

Now multiplying the highest exponent prime factors to calculate the LCM of 92055 and 92070.

LCM(92055,92070) = 3³ × 5¹ × 17¹ × 19² × 2¹ × 11¹ × 31¹
LCM(92055,92070) = 565033590