What is the Least Common Multiple of 60030 and 60034?

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 60030 and 60034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60030 and 60034, than apply into the LCM equation.

GCF(60030,60034) = 2
LCM(60030,60034) = ( 60030 × 60034) / 2
LCM(60030,60034) = 3603841020 / 2
LCM(60030,60034) = 1801920510

Least Common Multiple (LCM) of 60030 and 60034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60030 and 60034. First we will calculate the prime factors of 60030 and 60034.

Prime Factorization of 60030

Prime Factorization of 60034

Now multiplying the highest exponent prime factors to calculate the LCM of 60030 and 60034.

LCM(60030,60034) = 2¹ × 3² × 5¹ × 23¹ × 29¹ × 13¹ × 2309¹
LCM(60030,60034) = 1801920510