What is the Least Common Multiple of 59780 and 59786?

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 59780 and 59786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59780 and 59786, than apply into the LCM equation.

GCF(59780,59786) = 2
LCM(59780,59786) = ( 59780 × 59786) / 2
LCM(59780,59786) = 3574007080 / 2
LCM(59780,59786) = 1787003540

Least Common Multiple (LCM) of 59780 and 59786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59780 and 59786. First we will calculate the prime factors of 59780 and 59786.

Prime Factorization of 59780

Prime Factorization of 59786

Now multiplying the highest exponent prime factors to calculate the LCM of 59780 and 59786.

LCM(59780,59786) = 2² × 5¹ × 7² × 61¹ × 167¹ × 179¹
LCM(59780,59786) = 1787003540