What is the Least Common Multiple of 60707 and 60721?
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 (LCM) of 60707 and 60721 is 3686189747.
LCM(60707,60721) = 3686189747
Least Common Multiple of 60707 and 60721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60707 and 60721, than apply into the LCM equation.
GCF(60707,60721) = 1
LCM(60707,60721) = ( 60707 × 60721) / 1
LCM(60707,60721) = 3686189747 / 1
LCM(60707,60721) = 3686189747
Least Common Multiple (LCM) of 60707 and 60721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60707 and 60721. First we will calculate the prime factors of 60707 and 60721.
Prime Factorization of 60707
Prime factors of 60707 are 17, 3571. Prime factorization of 60707 in exponential form is:
60707 = 171 × 35711
Prime Factorization of 60721
Prime factors of 60721 are 41, 1481. Prime factorization of 60721 in exponential form is:
60721 = 411 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 60707 and 60721.
LCM(60707,60721) = 171 × 35711 × 411 × 14811
LCM(60707,60721) = 3686189747
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