What is the Least Common Multiple of 71152 and 71170?

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 71152 and 71170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71152 and 71170, than apply into the LCM equation.

GCF(71152,71170) = 2
LCM(71152,71170) = ( 71152 × 71170) / 2
LCM(71152,71170) = 5063887840 / 2
LCM(71152,71170) = 2531943920

Least Common Multiple (LCM) of 71152 and 71170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71152 and 71170. First we will calculate the prime factors of 71152 and 71170.

Prime Factorization of 71152

Prime Factorization of 71170

Now multiplying the highest exponent prime factors to calculate the LCM of 71152 and 71170.

LCM(71152,71170) = 2⁴ × 4447¹ × 5¹ × 11¹ × 647¹
LCM(71152,71170) = 2531943920