What is the Least Common Multiple of 70735 and 70749?

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 70735 and 70749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70735 and 70749, than apply into the LCM equation.

GCF(70735,70749) = 7
LCM(70735,70749) = ( 70735 × 70749) / 7
LCM(70735,70749) = 5004430515 / 7
LCM(70735,70749) = 714918645

Least Common Multiple (LCM) of 70735 and 70749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70735 and 70749. First we will calculate the prime factors of 70735 and 70749.

Prime Factorization of 70735

Prime Factorization of 70749

Now multiplying the highest exponent prime factors to calculate the LCM of 70735 and 70749.

LCM(70735,70749) = 5¹ × 7¹ × 43¹ × 47¹ × 3² × 1123¹
LCM(70735,70749) = 714918645