What is the Least Common Multiple of 49095 and 49110?

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 49095 and 49110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49095 and 49110, than apply into the LCM equation.

GCF(49095,49110) = 15
LCM(49095,49110) = ( 49095 × 49110) / 15
LCM(49095,49110) = 2411055450 / 15
LCM(49095,49110) = 160737030

Least Common Multiple (LCM) of 49095 and 49110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49095 and 49110. First we will calculate the prime factors of 49095 and 49110.

Prime Factorization of 49095

Prime Factorization of 49110

Now multiplying the highest exponent prime factors to calculate the LCM of 49095 and 49110.

LCM(49095,49110) = 3² × 5¹ × 1091¹ × 2¹ × 1637¹
LCM(49095,49110) = 160737030