What is the Least Common Multiple of 20419 and 20435?

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 20419 and 20435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20419 and 20435, than apply into the LCM equation.

GCF(20419,20435) = 1
LCM(20419,20435) = ( 20419 × 20435) / 1
LCM(20419,20435) = 417262265 / 1
LCM(20419,20435) = 417262265

Least Common Multiple (LCM) of 20419 and 20435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20419 and 20435. First we will calculate the prime factors of 20419 and 20435.

Prime Factorization of 20419

Prime Factorization of 20435

Now multiplying the highest exponent prime factors to calculate the LCM of 20419 and 20435.

LCM(20419,20435) = 7¹ × 2917¹ × 5¹ × 61¹ × 67¹
LCM(20419,20435) = 417262265