What is the Least Common Multiple of 63674 and 63685?

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 63674 and 63685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63674 and 63685, than apply into the LCM equation.

GCF(63674,63685) = 1
LCM(63674,63685) = ( 63674 × 63685) / 1
LCM(63674,63685) = 4055078690 / 1
LCM(63674,63685) = 4055078690

Least Common Multiple (LCM) of 63674 and 63685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63674 and 63685. First we will calculate the prime factors of 63674 and 63685.

Prime Factorization of 63674

Prime Factorization of 63685

Now multiplying the highest exponent prime factors to calculate the LCM of 63674 and 63685.

LCM(63674,63685) = 2¹ × 13¹ × 31¹ × 79¹ × 5¹ × 47¹ × 271¹
LCM(63674,63685) = 4055078690