What is the Least Common Multiple of 60105 and 60109?

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 60105 and 60109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60105 and 60109, than apply into the LCM equation.

GCF(60105,60109) = 1
LCM(60105,60109) = ( 60105 × 60109) / 1
LCM(60105,60109) = 3612851445 / 1
LCM(60105,60109) = 3612851445

Least Common Multiple (LCM) of 60105 and 60109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60105 and 60109. First we will calculate the prime factors of 60105 and 60109.

Prime Factorization of 60105

Prime Factorization of 60109

Now multiplying the highest exponent prime factors to calculate the LCM of 60105 and 60109.

LCM(60105,60109) = 3¹ × 5¹ × 4007¹ × 7¹ × 31¹ × 277¹
LCM(60105,60109) = 3612851445