What is the Least Common Multiple of 20070 and 20077?

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 20070 and 20077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20070 and 20077, than apply into the LCM equation.

GCF(20070,20077) = 1
LCM(20070,20077) = ( 20070 × 20077) / 1
LCM(20070,20077) = 402945390 / 1
LCM(20070,20077) = 402945390

Least Common Multiple (LCM) of 20070 and 20077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20070 and 20077. First we will calculate the prime factors of 20070 and 20077.

Prime Factorization of 20070

Prime Factorization of 20077

Now multiplying the highest exponent prime factors to calculate the LCM of 20070 and 20077.

LCM(20070,20077) = 2¹ × 3² × 5¹ × 223¹ × 17¹ × 1181¹
LCM(20070,20077) = 402945390