What is the Least Common Multiple of 3510 and 3525?

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 3510 and 3525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3510 and 3525, than apply into the LCM equation.

GCF(3510,3525) = 15
LCM(3510,3525) = ( 3510 × 3525) / 15
LCM(3510,3525) = 12372750 / 15
LCM(3510,3525) = 824850

Least Common Multiple (LCM) of 3510 and 3525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3510 and 3525. First we will calculate the prime factors of 3510 and 3525.

Prime Factorization of 3510

Prime Factorization of 3525

Now multiplying the highest exponent prime factors to calculate the LCM of 3510 and 3525.

LCM(3510,3525) = 2¹ × 3³ × 5² × 13¹ × 47¹
LCM(3510,3525) = 824850