What is the Least Common Multiple of 72774 and 72787?

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 72774 and 72787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72774 and 72787, than apply into the LCM equation.

GCF(72774,72787) = 13
LCM(72774,72787) = ( 72774 × 72787) / 13
LCM(72774,72787) = 5297001138 / 13
LCM(72774,72787) = 407461626

Least Common Multiple (LCM) of 72774 and 72787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72774 and 72787. First we will calculate the prime factors of 72774 and 72787.

Prime Factorization of 72774

Prime Factorization of 72787

Now multiplying the highest exponent prime factors to calculate the LCM of 72774 and 72787.

LCM(72774,72787) = 2¹ × 3² × 13¹ × 311¹ × 11¹ × 509¹
LCM(72774,72787) = 407461626