What is the Least Common Multiple of 59642 and 59654?

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 59642 and 59654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59642 and 59654, than apply into the LCM equation.

GCF(59642,59654) = 2
LCM(59642,59654) = ( 59642 × 59654) / 2
LCM(59642,59654) = 3557883868 / 2
LCM(59642,59654) = 1778941934

Least Common Multiple (LCM) of 59642 and 59654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59642 and 59654. First we will calculate the prime factors of 59642 and 59654.

Prime Factorization of 59642

Prime Factorization of 59654

Now multiplying the highest exponent prime factors to calculate the LCM of 59642 and 59654.

LCM(59642,59654) = 2¹ × 11¹ × 2711¹ × 7¹ × 4261¹
LCM(59642,59654) = 1778941934