What is the Least Common Multiple of 59766 and 59783?

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 59766 and 59783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59766 and 59783, than apply into the LCM equation.

GCF(59766,59783) = 1
LCM(59766,59783) = ( 59766 × 59783) / 1
LCM(59766,59783) = 3572990778 / 1
LCM(59766,59783) = 3572990778

Least Common Multiple (LCM) of 59766 and 59783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59766 and 59783. First we will calculate the prime factors of 59766 and 59783.

Prime Factorization of 59766

Prime Factorization of 59783

Now multiplying the highest exponent prime factors to calculate the LCM of 59766 and 59783.

LCM(59766,59783) = 2¹ × 3¹ × 7¹ × 1423¹ × 191¹ × 313¹
LCM(59766,59783) = 3572990778