What is the Least Common Multiple of 72345 and 72352?

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 72345 and 72352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72345 and 72352, than apply into the LCM equation.

GCF(72345,72352) = 7
LCM(72345,72352) = ( 72345 × 72352) / 7
LCM(72345,72352) = 5234305440 / 7
LCM(72345,72352) = 747757920

Least Common Multiple (LCM) of 72345 and 72352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72345 and 72352. First we will calculate the prime factors of 72345 and 72352.

Prime Factorization of 72345

Prime Factorization of 72352

Now multiplying the highest exponent prime factors to calculate the LCM of 72345 and 72352.

LCM(72345,72352) = 3¹ × 5¹ × 7¹ × 13¹ × 53¹ × 2⁵ × 17¹ × 19¹
LCM(72345,72352) = 747757920