What is the Least Common Multiple of 70629 and 70649?

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 70629 and 70649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70629 and 70649, than apply into the LCM equation.

GCF(70629,70649) = 1
LCM(70629,70649) = ( 70629 × 70649) / 1
LCM(70629,70649) = 4989868221 / 1
LCM(70629,70649) = 4989868221

Least Common Multiple (LCM) of 70629 and 70649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70629 and 70649. First we will calculate the prime factors of 70629 and 70649.

Prime Factorization of 70629

Prime Factorization of 70649

Now multiplying the highest exponent prime factors to calculate the LCM of 70629 and 70649.

LCM(70629,70649) = 3¹ × 13¹ × 1811¹ × 31¹ × 43¹ × 53¹
LCM(70629,70649) = 4989868221