What is the Least Common Multiple of 70761 and 70776?

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 70761 and 70776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70761 and 70776, than apply into the LCM equation.

GCF(70761,70776) = 3
LCM(70761,70776) = ( 70761 × 70776) / 3
LCM(70761,70776) = 5008180536 / 3
LCM(70761,70776) = 1669393512

Least Common Multiple (LCM) of 70761 and 70776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70761 and 70776. First we will calculate the prime factors of 70761 and 70776.

Prime Factorization of 70761

Prime Factorization of 70776

Now multiplying the highest exponent prime factors to calculate the LCM of 70761 and 70776.

LCM(70761,70776) = 3² × 103¹ × 229¹ × 2³ × 983¹
LCM(70761,70776) = 1669393512