What is the Least Common Multiple of 76255 and 76265?

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 76255 and 76265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76255 and 76265, than apply into the LCM equation.

GCF(76255,76265) = 5
LCM(76255,76265) = ( 76255 × 76265) / 5
LCM(76255,76265) = 5815587575 / 5
LCM(76255,76265) = 1163117515

Least Common Multiple (LCM) of 76255 and 76265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76255 and 76265. First we will calculate the prime factors of 76255 and 76265.

Prime Factorization of 76255

Prime Factorization of 76265

Now multiplying the highest exponent prime factors to calculate the LCM of 76255 and 76265.

LCM(76255,76265) = 5¹ × 101¹ × 151¹ × 7¹ × 2179¹
LCM(76255,76265) = 1163117515