What is the Least Common Multiple of 90978 and 90984?

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 90978 and 90984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90978 and 90984, than apply into the LCM equation.

GCF(90978,90984) = 6
LCM(90978,90984) = ( 90978 × 90984) / 6
LCM(90978,90984) = 8277542352 / 6
LCM(90978,90984) = 1379590392

Least Common Multiple (LCM) of 90978 and 90984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90978 and 90984. First we will calculate the prime factors of 90978 and 90984.

Prime Factorization of 90978

Prime Factorization of 90984

Now multiplying the highest exponent prime factors to calculate the LCM of 90978 and 90984.

LCM(90978,90984) = 2³ × 3¹ × 59¹ × 257¹ × 17¹ × 223¹
LCM(90978,90984) = 1379590392