What is the Least Common Multiple of 95340 and 95354?

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 95340 and 95354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95340 and 95354, than apply into the LCM equation.

GCF(95340,95354) = 14
LCM(95340,95354) = ( 95340 × 95354) / 14
LCM(95340,95354) = 9091050360 / 14
LCM(95340,95354) = 649360740

Least Common Multiple (LCM) of 95340 and 95354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95340 and 95354. First we will calculate the prime factors of 95340 and 95354.

Prime Factorization of 95340

Prime Factorization of 95354

Now multiplying the highest exponent prime factors to calculate the LCM of 95340 and 95354.

LCM(95340,95354) = 2² × 3¹ × 5¹ × 7³ × 227¹ × 139¹
LCM(95340,95354) = 649360740