What is the Least Common Multiple of 63774 and 63790?

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 63774 and 63790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63774 and 63790, than apply into the LCM equation.

GCF(63774,63790) = 2
LCM(63774,63790) = ( 63774 × 63790) / 2
LCM(63774,63790) = 4068143460 / 2
LCM(63774,63790) = 2034071730

Least Common Multiple (LCM) of 63774 and 63790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63774 and 63790. First we will calculate the prime factors of 63774 and 63790.

Prime Factorization of 63774

Prime Factorization of 63790

Now multiplying the highest exponent prime factors to calculate the LCM of 63774 and 63790.

LCM(63774,63790) = 2¹ × 3³ × 1181¹ × 5¹ × 6379¹
LCM(63774,63790) = 2034071730