What is the Least Common Multiple of 70692 and 70704?

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 70692 and 70704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70692 and 70704, than apply into the LCM equation.

GCF(70692,70704) = 12
LCM(70692,70704) = ( 70692 × 70704) / 12
LCM(70692,70704) = 4998207168 / 12
LCM(70692,70704) = 416517264

Least Common Multiple (LCM) of 70692 and 70704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70692 and 70704. First we will calculate the prime factors of 70692 and 70704.

Prime Factorization of 70692

Prime Factorization of 70704

Now multiplying the highest exponent prime factors to calculate the LCM of 70692 and 70704.

LCM(70692,70704) = 2⁴ × 3² × 43¹ × 137¹ × 491¹
LCM(70692,70704) = 416517264