What is the Least Common Multiple of 73472 and 73490?

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 73472 and 73490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73472 and 73490, than apply into the LCM equation.

GCF(73472,73490) = 2
LCM(73472,73490) = ( 73472 × 73490) / 2
LCM(73472,73490) = 5399457280 / 2
LCM(73472,73490) = 2699728640

Least Common Multiple (LCM) of 73472 and 73490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73472 and 73490. First we will calculate the prime factors of 73472 and 73490.

Prime Factorization of 73472

Prime Factorization of 73490

Now multiplying the highest exponent prime factors to calculate the LCM of 73472 and 73490.

LCM(73472,73490) = 2⁸ × 7¹ × 41¹ × 5¹ × 7349¹
LCM(73472,73490) = 2699728640