What is the Least Common Multiple of 59780 and 59787?

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 59787 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 59787, than apply into the LCM equation.

GCF(59780,59787) = 7
LCM(59780,59787) = ( 59780 × 59787) / 7
LCM(59780,59787) = 3574066860 / 7
LCM(59780,59787) = 510580980

Least Common Multiple (LCM) of 59780 and 59787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59780 and 59787. First we will calculate the prime factors of 59780 and 59787.

Prime Factorization of 59780

Prime Factorization of 59787

Now multiplying the highest exponent prime factors to calculate the LCM of 59780 and 59787.

LCM(59780,59787) = 2² × 5¹ × 7² × 61¹ × 3² × 13¹ × 73¹
LCM(59780,59787) = 510580980