What is the Least Common Multiple of 95451 and 95469?

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 95451 and 95469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95451 and 95469, than apply into the LCM equation.

GCF(95451,95469) = 3
LCM(95451,95469) = ( 95451 × 95469) / 3
LCM(95451,95469) = 9112611519 / 3
LCM(95451,95469) = 3037537173

Least Common Multiple (LCM) of 95451 and 95469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95451 and 95469. First we will calculate the prime factors of 95451 and 95469.

Prime Factorization of 95451

Prime Factorization of 95469

Now multiplying the highest exponent prime factors to calculate the LCM of 95451 and 95469.

LCM(95451,95469) = 3¹ × 31817¹ × 11² × 263¹
LCM(95451,95469) = 3037537173