What is the Least Common Multiple of 85080 and 85094?

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 85080 and 85094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85080 and 85094, than apply into the LCM equation.

GCF(85080,85094) = 2
LCM(85080,85094) = ( 85080 × 85094) / 2
LCM(85080,85094) = 7239797520 / 2
LCM(85080,85094) = 3619898760

Least Common Multiple (LCM) of 85080 and 85094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85080 and 85094. First we will calculate the prime factors of 85080 and 85094.

Prime Factorization of 85080

Prime Factorization of 85094

Now multiplying the highest exponent prime factors to calculate the LCM of 85080 and 85094.

LCM(85080,85094) = 2³ × 3¹ × 5¹ × 709¹ × 157¹ × 271¹
LCM(85080,85094) = 3619898760