What is the Least Common Multiple of 70420 and 70437?

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 70437 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 70437, than apply into the LCM equation.

GCF(70420,70437) = 1
LCM(70420,70437) = ( 70420 × 70437) / 1
LCM(70420,70437) = 4960173540 / 1
LCM(70420,70437) = 4960173540

Least Common Multiple (LCM) of 70420 and 70437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70420 and 70437. First we will calculate the prime factors of 70420 and 70437.

Prime Factorization of 70420

Prime Factorization of 70437

Now multiplying the highest exponent prime factors to calculate the LCM of 70420 and 70437.

LCM(70420,70437) = 2² × 5¹ × 7¹ × 503¹ × 3¹ × 53¹ × 443¹
LCM(70420,70437) = 4960173540