What is the Least Common Multiple of 72525 and 72540?

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 72525 and 72540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72525 and 72540, than apply into the LCM equation.

GCF(72525,72540) = 15
LCM(72525,72540) = ( 72525 × 72540) / 15
LCM(72525,72540) = 5260963500 / 15
LCM(72525,72540) = 350730900

Least Common Multiple (LCM) of 72525 and 72540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72525 and 72540. First we will calculate the prime factors of 72525 and 72540.

Prime Factorization of 72525

Prime Factorization of 72540

Now multiplying the highest exponent prime factors to calculate the LCM of 72525 and 72540.

LCM(72525,72540) = 3² × 5² × 967¹ × 2² × 13¹ × 31¹
LCM(72525,72540) = 350730900