What is the Least Common Multiple of 95088 and 95103?

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 95088 and 95103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95088 and 95103, than apply into the LCM equation.

GCF(95088,95103) = 3
LCM(95088,95103) = ( 95088 × 95103) / 3
LCM(95088,95103) = 9043154064 / 3
LCM(95088,95103) = 3014384688

Least Common Multiple (LCM) of 95088 and 95103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95088 and 95103. First we will calculate the prime factors of 95088 and 95103.

Prime Factorization of 95088

Prime Factorization of 95103

Now multiplying the highest exponent prime factors to calculate the LCM of 95088 and 95103.

LCM(95088,95103) = 2⁴ × 3² × 7¹ × 283¹ × 10567¹
LCM(95088,95103) = 3014384688