What is the Least Common Multiple of 27152 and 27170?

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 27152 and 27170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27152 and 27170, than apply into the LCM equation.

GCF(27152,27170) = 2
LCM(27152,27170) = ( 27152 × 27170) / 2
LCM(27152,27170) = 737719840 / 2
LCM(27152,27170) = 368859920

Least Common Multiple (LCM) of 27152 and 27170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27152 and 27170. First we will calculate the prime factors of 27152 and 27170.

Prime Factorization of 27152

Prime Factorization of 27170

Now multiplying the highest exponent prime factors to calculate the LCM of 27152 and 27170.

LCM(27152,27170) = 2⁴ × 1697¹ × 5¹ × 11¹ × 13¹ × 19¹
LCM(27152,27170) = 368859920