What is the Least Common Multiple of 85272 and 85278?

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 85272 and 85278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85272 and 85278, than apply into the LCM equation.

GCF(85272,85278) = 6
LCM(85272,85278) = ( 85272 × 85278) / 6
LCM(85272,85278) = 7271825616 / 6
LCM(85272,85278) = 1211970936

Least Common Multiple (LCM) of 85272 and 85278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85272 and 85278. First we will calculate the prime factors of 85272 and 85278.

Prime Factorization of 85272

Prime Factorization of 85278

Now multiplying the highest exponent prime factors to calculate the LCM of 85272 and 85278.

LCM(85272,85278) = 2³ × 3¹ × 11¹ × 17¹ × 19¹ × 61¹ × 233¹
LCM(85272,85278) = 1211970936