What is the Least Common Multiple of 76088 and 76105?

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 76088 and 76105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76088 and 76105, than apply into the LCM equation.

GCF(76088,76105) = 1
LCM(76088,76105) = ( 76088 × 76105) / 1
LCM(76088,76105) = 5790677240 / 1
LCM(76088,76105) = 5790677240

Least Common Multiple (LCM) of 76088 and 76105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76088 and 76105. First we will calculate the prime factors of 76088 and 76105.

Prime Factorization of 76088

Prime Factorization of 76105

Now multiplying the highest exponent prime factors to calculate the LCM of 76088 and 76105.

LCM(76088,76105) = 2³ × 9511¹ × 5¹ × 31¹ × 491¹
LCM(76088,76105) = 5790677240