What is the Least Common Multiple of 57525 and 57540?

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 57525 and 57540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57525 and 57540, than apply into the LCM equation.

GCF(57525,57540) = 15
LCM(57525,57540) = ( 57525 × 57540) / 15
LCM(57525,57540) = 3309988500 / 15
LCM(57525,57540) = 220665900

Least Common Multiple (LCM) of 57525 and 57540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57525 and 57540. First we will calculate the prime factors of 57525 and 57540.

Prime Factorization of 57525

Prime Factorization of 57540

Now multiplying the highest exponent prime factors to calculate the LCM of 57525 and 57540.

LCM(57525,57540) = 3¹ × 5² × 13¹ × 59¹ × 2² × 7¹ × 137¹
LCM(57525,57540) = 220665900