What is the Least Common Multiple of 49065 and 49074?

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 49065 and 49074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49065 and 49074, than apply into the LCM equation.

GCF(49065,49074) = 3
LCM(49065,49074) = ( 49065 × 49074) / 3
LCM(49065,49074) = 2407815810 / 3
LCM(49065,49074) = 802605270

Least Common Multiple (LCM) of 49065 and 49074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49065 and 49074. First we will calculate the prime factors of 49065 and 49074.

Prime Factorization of 49065

Prime Factorization of 49074

Now multiplying the highest exponent prime factors to calculate the LCM of 49065 and 49074.

LCM(49065,49074) = 3¹ × 5¹ × 3271¹ × 2¹ × 8179¹
LCM(49065,49074) = 802605270