What is the Least Common Multiple of 49734 and 49746?

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 49734 and 49746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49734 and 49746, than apply into the LCM equation.

GCF(49734,49746) = 6
LCM(49734,49746) = ( 49734 × 49746) / 6
LCM(49734,49746) = 2474067564 / 6
LCM(49734,49746) = 412344594

Least Common Multiple (LCM) of 49734 and 49746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49734 and 49746. First we will calculate the prime factors of 49734 and 49746.

Prime Factorization of 49734

Prime Factorization of 49746

Now multiplying the highest exponent prime factors to calculate the LCM of 49734 and 49746.

LCM(49734,49746) = 2¹ × 3⁴ × 307¹ × 8291¹
LCM(49734,49746) = 412344594