What is the Least Common Multiple of 59826 and 59843?

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 59843 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 59843, than apply into the LCM equation.

GCF(59826,59843) = 1
LCM(59826,59843) = ( 59826 × 59843) / 1
LCM(59826,59843) = 3580167318 / 1
LCM(59826,59843) = 3580167318

Least Common Multiple (LCM) of 59826 and 59843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59826 and 59843. First we will calculate the prime factors of 59826 and 59843.

Prime Factorization of 59826

Prime Factorization of 59843

Now multiplying the highest exponent prime factors to calculate the LCM of 59826 and 59843.

LCM(59826,59843) = 2¹ × 3¹ × 13² × 59¹ × 7¹ × 83¹ × 103¹
LCM(59826,59843) = 3580167318