What is the Least Common Multiple of 76132 and 76145?

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 76132 and 76145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76132 and 76145, than apply into the LCM equation.

GCF(76132,76145) = 1
LCM(76132,76145) = ( 76132 × 76145) / 1
LCM(76132,76145) = 5797071140 / 1
LCM(76132,76145) = 5797071140

Least Common Multiple (LCM) of 76132 and 76145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76132 and 76145. First we will calculate the prime factors of 76132 and 76145.

Prime Factorization of 76132

Prime Factorization of 76145

Now multiplying the highest exponent prime factors to calculate the LCM of 76132 and 76145.

LCM(76132,76145) = 2² × 7¹ × 2719¹ × 5¹ × 97¹ × 157¹
LCM(76132,76145) = 5797071140