What is the Least Common Multiple of 71072 and 71085?

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 71072 and 71085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71072 and 71085, than apply into the LCM equation.

GCF(71072,71085) = 1
LCM(71072,71085) = ( 71072 × 71085) / 1
LCM(71072,71085) = 5052153120 / 1
LCM(71072,71085) = 5052153120

Least Common Multiple (LCM) of 71072 and 71085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71072 and 71085. First we will calculate the prime factors of 71072 and 71085.

Prime Factorization of 71072

Prime Factorization of 71085

Now multiplying the highest exponent prime factors to calculate the LCM of 71072 and 71085.

LCM(71072,71085) = 2⁵ × 2221¹ × 3¹ × 5¹ × 7¹ × 677¹
LCM(71072,71085) = 5052153120