What is the Least Common Multiple of 30756 and 30776?

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 30756 and 30776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30756 and 30776, than apply into the LCM equation.

GCF(30756,30776) = 4
LCM(30756,30776) = ( 30756 × 30776) / 4
LCM(30756,30776) = 946546656 / 4
LCM(30756,30776) = 236636664

Least Common Multiple (LCM) of 30756 and 30776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30756 and 30776. First we will calculate the prime factors of 30756 and 30776.

Prime Factorization of 30756

Prime Factorization of 30776

Now multiplying the highest exponent prime factors to calculate the LCM of 30756 and 30776.

LCM(30756,30776) = 2³ × 3¹ × 11¹ × 233¹ × 3847¹
LCM(30756,30776) = 236636664