What is the Least Common Multiple of 71136 and 71140?

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 71136 and 71140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71136 and 71140, than apply into the LCM equation.

GCF(71136,71140) = 4
LCM(71136,71140) = ( 71136 × 71140) / 4
LCM(71136,71140) = 5060615040 / 4
LCM(71136,71140) = 1265153760

Least Common Multiple (LCM) of 71136 and 71140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71136 and 71140. First we will calculate the prime factors of 71136 and 71140.

Prime Factorization of 71136

Prime Factorization of 71140

Now multiplying the highest exponent prime factors to calculate the LCM of 71136 and 71140.

LCM(71136,71140) = 2⁵ × 3² × 13¹ × 19¹ × 5¹ × 3557¹
LCM(71136,71140) = 1265153760