What is the Least Common Multiple of 70932 and 70948?

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 70932 and 70948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70932 and 70948, than apply into the LCM equation.

GCF(70932,70948) = 4
LCM(70932,70948) = ( 70932 × 70948) / 4
LCM(70932,70948) = 5032483536 / 4
LCM(70932,70948) = 1258120884

Least Common Multiple (LCM) of 70932 and 70948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70932 and 70948. First we will calculate the prime factors of 70932 and 70948.

Prime Factorization of 70932

Prime Factorization of 70948

Now multiplying the highest exponent prime factors to calculate the LCM of 70932 and 70948.

LCM(70932,70948) = 2² × 3¹ × 23¹ × 257¹ × 17737¹
LCM(70932,70948) = 1258120884