What is the Least Common Multiple of 62729 and 62733?

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 62729 and 62733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62729 and 62733, than apply into the LCM equation.

GCF(62729,62733) = 1
LCM(62729,62733) = ( 62729 × 62733) / 1
LCM(62729,62733) = 3935178357 / 1
LCM(62729,62733) = 3935178357

Least Common Multiple (LCM) of 62729 and 62733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62729 and 62733. First we will calculate the prime factors of 62729 and 62733.

Prime Factorization of 62729

Prime Factorization of 62733

Now multiplying the highest exponent prime factors to calculate the LCM of 62729 and 62733.

LCM(62729,62733) = 149¹ × 421¹ × 3¹ × 11¹ × 1901¹
LCM(62729,62733) = 3935178357