What is the Least Common Multiple of 73758 and 73763?

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 73758 and 73763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73758 and 73763, than apply into the LCM equation.

GCF(73758,73763) = 1
LCM(73758,73763) = ( 73758 × 73763) / 1
LCM(73758,73763) = 5440611354 / 1
LCM(73758,73763) = 5440611354

Least Common Multiple (LCM) of 73758 and 73763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73758 and 73763. First we will calculate the prime factors of 73758 and 73763.

Prime Factorization of 73758

Prime Factorization of 73763

Now multiplying the highest exponent prime factors to calculate the LCM of 73758 and 73763.

LCM(73758,73763) = 2¹ × 3¹ × 19¹ × 647¹ × 17¹ × 4339¹
LCM(73758,73763) = 5440611354