What is the Least Common Multiple of 95490 and 95505?

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 95490 and 95505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95490 and 95505, than apply into the LCM equation.

GCF(95490,95505) = 15
LCM(95490,95505) = ( 95490 × 95505) / 15
LCM(95490,95505) = 9119772450 / 15
LCM(95490,95505) = 607984830

Least Common Multiple (LCM) of 95490 and 95505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95490 and 95505. First we will calculate the prime factors of 95490 and 95505.

Prime Factorization of 95490

Prime Factorization of 95505

Now multiplying the highest exponent prime factors to calculate the LCM of 95490 and 95505.

LCM(95490,95505) = 2¹ × 3² × 5¹ × 1061¹ × 6367¹
LCM(95490,95505) = 607984830