What is the Least Common Multiple of 60302 and 60307?

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 60302 and 60307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60302 and 60307, than apply into the LCM equation.

GCF(60302,60307) = 1
LCM(60302,60307) = ( 60302 × 60307) / 1
LCM(60302,60307) = 3636632714 / 1
LCM(60302,60307) = 3636632714

Least Common Multiple (LCM) of 60302 and 60307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60302 and 60307. First we will calculate the prime factors of 60302 and 60307.

Prime Factorization of 60302

Prime Factorization of 60307

Now multiplying the highest exponent prime factors to calculate the LCM of 60302 and 60307.

LCM(60302,60307) = 2¹ × 11¹ × 2741¹ × 13¹ × 4639¹
LCM(60302,60307) = 3636632714