What is the Least Common Multiple of 20774 and 20783?

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 20774 and 20783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20774 and 20783, than apply into the LCM equation.

GCF(20774,20783) = 1
LCM(20774,20783) = ( 20774 × 20783) / 1
LCM(20774,20783) = 431746042 / 1
LCM(20774,20783) = 431746042

Least Common Multiple (LCM) of 20774 and 20783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20774 and 20783. First we will calculate the prime factors of 20774 and 20783.

Prime Factorization of 20774

Prime Factorization of 20783

Now multiplying the highest exponent prime factors to calculate the LCM of 20774 and 20783.

LCM(20774,20783) = 2¹ × 13¹ × 17¹ × 47¹ × 7¹ × 2969¹
LCM(20774,20783) = 431746042