What is the Least Common Multiple of 70618 and 70632?

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 70618 and 70632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70618 and 70632, than apply into the LCM equation.

GCF(70618,70632) = 2
LCM(70618,70632) = ( 70618 × 70632) / 2
LCM(70618,70632) = 4987890576 / 2
LCM(70618,70632) = 2493945288

Least Common Multiple (LCM) of 70618 and 70632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70618 and 70632. First we will calculate the prime factors of 70618 and 70632.

Prime Factorization of 70618

Prime Factorization of 70632

Now multiplying the highest exponent prime factors to calculate the LCM of 70618 and 70632.

LCM(70618,70632) = 2³ × 17¹ × 31¹ × 67¹ × 3⁴ × 109¹
LCM(70618,70632) = 2493945288