What is the Least Common Multiple of 70420 and 70436?

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 70420 and 70436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70420 and 70436, than apply into the LCM equation.

GCF(70420,70436) = 4
LCM(70420,70436) = ( 70420 × 70436) / 4
LCM(70420,70436) = 4960103120 / 4
LCM(70420,70436) = 1240025780

Least Common Multiple (LCM) of 70420 and 70436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70420 and 70436. First we will calculate the prime factors of 70420 and 70436.

Prime Factorization of 70420

Prime Factorization of 70436

Now multiplying the highest exponent prime factors to calculate the LCM of 70420 and 70436.

LCM(70420,70436) = 2² × 5¹ × 7¹ × 503¹ × 17609¹
LCM(70420,70436) = 1240025780