What is the Least Common Multiple of 66830 and 66847?

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 66830 and 66847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66830 and 66847, than apply into the LCM equation.

GCF(66830,66847) = 1
LCM(66830,66847) = ( 66830 × 66847) / 1
LCM(66830,66847) = 4467385010 / 1
LCM(66830,66847) = 4467385010

Least Common Multiple (LCM) of 66830 and 66847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66830 and 66847. First we will calculate the prime factors of 66830 and 66847.

Prime Factorization of 66830

Prime Factorization of 66847

Now multiplying the highest exponent prime factors to calculate the LCM of 66830 and 66847.

LCM(66830,66847) = 2¹ × 5¹ × 41¹ × 163¹ × 11¹ × 59¹ × 103¹
LCM(66830,66847) = 4467385010