What is the Least Common Multiple of 95340 and 95349?

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 95349 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 95349, than apply into the LCM equation.

GCF(95340,95349) = 3
LCM(95340,95349) = ( 95340 × 95349) / 3
LCM(95340,95349) = 9090573660 / 3
LCM(95340,95349) = 3030191220

Least Common Multiple (LCM) of 95340 and 95349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95340 and 95349. First we will calculate the prime factors of 95340 and 95349.

Prime Factorization of 95340

Prime Factorization of 95349

Now multiplying the highest exponent prime factors to calculate the LCM of 95340 and 95349.

LCM(95340,95349) = 2² × 3¹ × 5¹ × 7¹ × 227¹ × 37¹ × 859¹
LCM(95340,95349) = 3030191220