What is the Least Common Multiple of 70332 and 70346?

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 70332 and 70346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70332 and 70346, than apply into the LCM equation.

GCF(70332,70346) = 2
LCM(70332,70346) = ( 70332 × 70346) / 2
LCM(70332,70346) = 4947574872 / 2
LCM(70332,70346) = 2473787436

Least Common Multiple (LCM) of 70332 and 70346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70332 and 70346. First we will calculate the prime factors of 70332 and 70346.

Prime Factorization of 70332

Prime Factorization of 70346

Now multiplying the highest exponent prime factors to calculate the LCM of 70332 and 70346.

LCM(70332,70346) = 2² × 3¹ × 5861¹ × 17¹ × 2069¹
LCM(70332,70346) = 2473787436