What is the Least Common Multiple of 85219 and 85236?

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 85219 and 85236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85219 and 85236, than apply into the LCM equation.

GCF(85219,85236) = 1
LCM(85219,85236) = ( 85219 × 85236) / 1
LCM(85219,85236) = 7263726684 / 1
LCM(85219,85236) = 7263726684

Least Common Multiple (LCM) of 85219 and 85236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85219 and 85236. First we will calculate the prime factors of 85219 and 85236.

Prime Factorization of 85219

Prime Factorization of 85236

Now multiplying the highest exponent prime factors to calculate the LCM of 85219 and 85236.

LCM(85219,85236) = 31¹ × 2749¹ × 2² × 3¹ × 7103¹
LCM(85219,85236) = 7263726684