What is the Least Common Multiple of 70749 and 70761?

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 70749 and 70761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70749 and 70761, than apply into the LCM equation.

GCF(70749,70761) = 3
LCM(70749,70761) = ( 70749 × 70761) / 3
LCM(70749,70761) = 5006269989 / 3
LCM(70749,70761) = 1668756663

Least Common Multiple (LCM) of 70749 and 70761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70749 and 70761. First we will calculate the prime factors of 70749 and 70761.

Prime Factorization of 70749

Prime Factorization of 70761

Now multiplying the highest exponent prime factors to calculate the LCM of 70749 and 70761.

LCM(70749,70761) = 3² × 7¹ × 1123¹ × 103¹ × 229¹
LCM(70749,70761) = 1668756663