What is the Least Common Multiple of 60721 and 60730?
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 60721 and 60730 is 3687586330.
LCM(60721,60730) = 3687586330
Least Common Multiple of 60721 and 60730 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60721 and 60730, than apply into the LCM equation.
GCF(60721,60730) = 1
LCM(60721,60730) = ( 60721 × 60730) / 1
LCM(60721,60730) = 3687586330 / 1
LCM(60721,60730) = 3687586330
Least Common Multiple (LCM) of 60721 and 60730 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60721 and 60730. First we will calculate the prime factors of 60721 and 60730.
Prime Factorization of 60721
Prime factors of 60721 are 41, 1481. Prime factorization of 60721 in exponential form is:
60721 = 411 × 14811
Prime Factorization of 60730
Prime factors of 60730 are 2, 5, 6073. Prime factorization of 60730 in exponential form is:
60730 = 21 × 51 × 60731
Now multiplying the highest exponent prime factors to calculate the LCM of 60721 and 60730.
LCM(60721,60730) = 411 × 14811 × 21 × 51 × 60731
LCM(60721,60730) = 3687586330
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