What is the Least Common Multiple of 62435 and 62455?

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 62435 and 62455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62435 and 62455, than apply into the LCM equation.

GCF(62435,62455) = 5
LCM(62435,62455) = ( 62435 × 62455) / 5
LCM(62435,62455) = 3899377925 / 5
LCM(62435,62455) = 779875585

Least Common Multiple (LCM) of 62435 and 62455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62435 and 62455. First we will calculate the prime factors of 62435 and 62455.

Prime Factorization of 62435

Prime Factorization of 62455

Now multiplying the highest exponent prime factors to calculate the LCM of 62435 and 62455.

LCM(62435,62455) = 5¹ × 12487¹ × 12491¹
LCM(62435,62455) = 779875585