What is the Least Common Multiple of 95038 and 95052?

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 95038 and 95052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95038 and 95052, than apply into the LCM equation.

GCF(95038,95052) = 2
LCM(95038,95052) = ( 95038 × 95052) / 2
LCM(95038,95052) = 9033551976 / 2
LCM(95038,95052) = 4516775988

Least Common Multiple (LCM) of 95038 and 95052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95038 and 95052. First we will calculate the prime factors of 95038 and 95052.

Prime Factorization of 95038

Prime Factorization of 95052

Now multiplying the highest exponent prime factors to calculate the LCM of 95038 and 95052.

LCM(95038,95052) = 2² × 19¹ × 41¹ × 61¹ × 3¹ × 89²
LCM(95038,95052) = 4516775988