What is the Least Common Multiple of 70755 and 70772?

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 70755 and 70772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70755 and 70772, than apply into the LCM equation.

GCF(70755,70772) = 1
LCM(70755,70772) = ( 70755 × 70772) / 1
LCM(70755,70772) = 5007472860 / 1
LCM(70755,70772) = 5007472860

Least Common Multiple (LCM) of 70755 and 70772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70755 and 70772. First we will calculate the prime factors of 70755 and 70772.

Prime Factorization of 70755

Prime Factorization of 70772

Now multiplying the highest exponent prime factors to calculate the LCM of 70755 and 70772.

LCM(70755,70772) = 3¹ × 5¹ × 53¹ × 89¹ × 2² × 13¹ × 1361¹
LCM(70755,70772) = 5007472860