What is the Least Common Multiple of 70352 and 70372?

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 70352 and 70372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70352 and 70372, than apply into the LCM equation.

GCF(70352,70372) = 4
LCM(70352,70372) = ( 70352 × 70372) / 4
LCM(70352,70372) = 4950810944 / 4
LCM(70352,70372) = 1237702736

Least Common Multiple (LCM) of 70352 and 70372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70352 and 70372. First we will calculate the prime factors of 70352 and 70372.

Prime Factorization of 70352

Prime Factorization of 70372

Now multiplying the highest exponent prime factors to calculate the LCM of 70352 and 70372.

LCM(70352,70372) = 2⁴ × 4397¹ × 73¹ × 241¹
LCM(70352,70372) = 1237702736