What is the Least Common Multiple of 59703 and 59710?

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 59703 and 59710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59703 and 59710, than apply into the LCM equation.

GCF(59703,59710) = 7
LCM(59703,59710) = ( 59703 × 59710) / 7
LCM(59703,59710) = 3564866130 / 7
LCM(59703,59710) = 509266590

Least Common Multiple (LCM) of 59703 and 59710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59703 and 59710. First we will calculate the prime factors of 59703 and 59710.

Prime Factorization of 59703

Prime Factorization of 59710

Now multiplying the highest exponent prime factors to calculate the LCM of 59703 and 59710.

LCM(59703,59710) = 3¹ × 7¹ × 2843¹ × 2¹ × 5¹ × 853¹
LCM(59703,59710) = 509266590