What is the Least Common Multiple of 84970 and 84974?

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 84970 and 84974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84970 and 84974, than apply into the LCM equation.

GCF(84970,84974) = 2
LCM(84970,84974) = ( 84970 × 84974) / 2
LCM(84970,84974) = 7220240780 / 2
LCM(84970,84974) = 3610120390

Least Common Multiple (LCM) of 84970 and 84974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84970 and 84974. First we will calculate the prime factors of 84970 and 84974.

Prime Factorization of 84970

Prime Factorization of 84974

Now multiplying the highest exponent prime factors to calculate the LCM of 84970 and 84974.

LCM(84970,84974) = 2¹ × 5¹ × 29¹ × 293¹ × 42487¹
LCM(84970,84974) = 3610120390