What is the Least Common Multiple of 70952 and 70969?

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 70952 and 70969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70952 and 70969, than apply into the LCM equation.

GCF(70952,70969) = 1
LCM(70952,70969) = ( 70952 × 70969) / 1
LCM(70952,70969) = 5035392488 / 1
LCM(70952,70969) = 5035392488

Least Common Multiple (LCM) of 70952 and 70969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70952 and 70969. First we will calculate the prime factors of 70952 and 70969.

Prime Factorization of 70952

Prime Factorization of 70969

Now multiplying the highest exponent prime factors to calculate the LCM of 70952 and 70969.

LCM(70952,70969) = 2³ × 7² × 181¹ × 70969¹
LCM(70952,70969) = 5035392488