What is the Least Common Multiple of 95250 and 95265?

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 95250 and 95265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95250 and 95265, than apply into the LCM equation.

GCF(95250,95265) = 15
LCM(95250,95265) = ( 95250 × 95265) / 15
LCM(95250,95265) = 9073991250 / 15
LCM(95250,95265) = 604932750

Least Common Multiple (LCM) of 95250 and 95265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95250 and 95265. First we will calculate the prime factors of 95250 and 95265.

Prime Factorization of 95250

Prime Factorization of 95265

Now multiplying the highest exponent prime factors to calculate the LCM of 95250 and 95265.

LCM(95250,95265) = 2¹ × 3² × 5³ × 127¹ × 29¹ × 73¹
LCM(95250,95265) = 604932750