What is the Least Common Multiple of 66906 and 66919?

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 66906 and 66919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66906 and 66919, than apply into the LCM equation.

GCF(66906,66919) = 1
LCM(66906,66919) = ( 66906 × 66919) / 1
LCM(66906,66919) = 4477282614 / 1
LCM(66906,66919) = 4477282614

Least Common Multiple (LCM) of 66906 and 66919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66906 and 66919. First we will calculate the prime factors of 66906 and 66919.

Prime Factorization of 66906

Prime Factorization of 66919

Now multiplying the highest exponent prime factors to calculate the LCM of 66906 and 66919.

LCM(66906,66919) = 2¹ × 3⁴ × 7¹ × 59¹ × 66919¹
LCM(66906,66919) = 4477282614