What is the Least Common Multiple of 20974 and 20994?

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 20974 and 20994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20974 and 20994, than apply into the LCM equation.

GCF(20974,20994) = 2
LCM(20974,20994) = ( 20974 × 20994) / 2
LCM(20974,20994) = 440328156 / 2
LCM(20974,20994) = 220164078

Least Common Multiple (LCM) of 20974 and 20994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20974 and 20994. First we will calculate the prime factors of 20974 and 20994.

Prime Factorization of 20974

Prime Factorization of 20994

Now multiplying the highest exponent prime factors to calculate the LCM of 20974 and 20994.

LCM(20974,20994) = 2¹ × 10487¹ × 3¹ × 3499¹
LCM(20974,20994) = 220164078