What is the Least Common Multiple of 40749 and 40766?

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 40749 and 40766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40749 and 40766, than apply into the LCM equation.

GCF(40749,40766) = 17
LCM(40749,40766) = ( 40749 × 40766) / 17
LCM(40749,40766) = 1661173734 / 17
LCM(40749,40766) = 97716102

Least Common Multiple (LCM) of 40749 and 40766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40749 and 40766. First we will calculate the prime factors of 40749 and 40766.

Prime Factorization of 40749

Prime Factorization of 40766

Now multiplying the highest exponent prime factors to calculate the LCM of 40749 and 40766.

LCM(40749,40766) = 3¹ × 17² × 47¹ × 2¹ × 11¹ × 109¹
LCM(40749,40766) = 97716102