What is the Least Common Multiple of 90970 and 90981?

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 90970 and 90981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90970 and 90981, than apply into the LCM equation.

GCF(90970,90981) = 11
LCM(90970,90981) = ( 90970 × 90981) / 11
LCM(90970,90981) = 8276541570 / 11
LCM(90970,90981) = 752412870

Least Common Multiple (LCM) of 90970 and 90981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90970 and 90981. First we will calculate the prime factors of 90970 and 90981.

Prime Factorization of 90970

Prime Factorization of 90981

Now multiplying the highest exponent prime factors to calculate the LCM of 90970 and 90981.

LCM(90970,90981) = 2¹ × 5¹ × 11¹ × 827¹ × 3² × 919¹
LCM(90970,90981) = 752412870