What is the Least Common Multiple of 76145 and 76165?

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 76145 and 76165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76145 and 76165, than apply into the LCM equation.

GCF(76145,76165) = 5
LCM(76145,76165) = ( 76145 × 76165) / 5
LCM(76145,76165) = 5799583925 / 5
LCM(76145,76165) = 1159916785

Least Common Multiple (LCM) of 76145 and 76165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76145 and 76165. First we will calculate the prime factors of 76145 and 76165.

Prime Factorization of 76145

Prime Factorization of 76165

Now multiplying the highest exponent prime factors to calculate the LCM of 76145 and 76165.

LCM(76145,76165) = 5¹ × 97¹ × 157¹ × 15233¹
LCM(76145,76165) = 1159916785