What is the Least Common Multiple of 69510 and 69525?

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 69510 and 69525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69510 and 69525, than apply into the LCM equation.

GCF(69510,69525) = 15
LCM(69510,69525) = ( 69510 × 69525) / 15
LCM(69510,69525) = 4832682750 / 15
LCM(69510,69525) = 322178850

Least Common Multiple (LCM) of 69510 and 69525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69510 and 69525. First we will calculate the prime factors of 69510 and 69525.

Prime Factorization of 69510

Prime Factorization of 69525

Now multiplying the highest exponent prime factors to calculate the LCM of 69510 and 69525.

LCM(69510,69525) = 2¹ × 3³ × 5² × 7¹ × 331¹ × 103¹
LCM(69510,69525) = 322178850