What is the Least Common Multiple of 59826 and 59835?

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 59826 and 59835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59826 and 59835, than apply into the LCM equation.

GCF(59826,59835) = 3
LCM(59826,59835) = ( 59826 × 59835) / 3
LCM(59826,59835) = 3579688710 / 3
LCM(59826,59835) = 1193229570

Least Common Multiple (LCM) of 59826 and 59835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59826 and 59835. First we will calculate the prime factors of 59826 and 59835.

Prime Factorization of 59826

Prime Factorization of 59835

Now multiplying the highest exponent prime factors to calculate the LCM of 59826 and 59835.

LCM(59826,59835) = 2¹ × 3¹ × 13² × 59¹ × 5¹ × 3989¹
LCM(59826,59835) = 1193229570