What is the Least Common Multiple of 73072 and 73090?

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 73072 and 73090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73072 and 73090, than apply into the LCM equation.

GCF(73072,73090) = 2
LCM(73072,73090) = ( 73072 × 73090) / 2
LCM(73072,73090) = 5340832480 / 2
LCM(73072,73090) = 2670416240

Least Common Multiple (LCM) of 73072 and 73090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73072 and 73090. First we will calculate the prime factors of 73072 and 73090.

Prime Factorization of 73072

Prime Factorization of 73090

Now multiplying the highest exponent prime factors to calculate the LCM of 73072 and 73090.

LCM(73072,73090) = 2⁴ × 4567¹ × 5¹ × 7309¹
LCM(73072,73090) = 2670416240