What is the Least Common Multiple of 70776 and 70785?

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 70776 and 70785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70776 and 70785, than apply into the LCM equation.

GCF(70776,70785) = 9
LCM(70776,70785) = ( 70776 × 70785) / 9
LCM(70776,70785) = 5009879160 / 9
LCM(70776,70785) = 556653240

Least Common Multiple (LCM) of 70776 and 70785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70776 and 70785. First we will calculate the prime factors of 70776 and 70785.

Prime Factorization of 70776

Prime Factorization of 70785

Now multiplying the highest exponent prime factors to calculate the LCM of 70776 and 70785.

LCM(70776,70785) = 2³ × 3² × 983¹ × 5¹ × 11² × 13¹
LCM(70776,70785) = 556653240