What is the Least Common Multiple of 60719 and 60731?
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 60719 and 60731 is 3687525589.
LCM(60719,60731) = 3687525589
Least Common Multiple of 60719 and 60731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60719 and 60731, than apply into the LCM equation.
GCF(60719,60731) = 1
LCM(60719,60731) = ( 60719 × 60731) / 1
LCM(60719,60731) = 3687525589 / 1
LCM(60719,60731) = 3687525589
Least Common Multiple (LCM) of 60719 and 60731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60719 and 60731. First we will calculate the prime factors of 60719 and 60731.
Prime Factorization of 60719
Prime factors of 60719 are 60719. Prime factorization of 60719 in exponential form is:
60719 = 607191
Prime Factorization of 60731
Prime factors of 60731 are 11, 5521. Prime factorization of 60731 in exponential form is:
60731 = 111 × 55211
Now multiplying the highest exponent prime factors to calculate the LCM of 60719 and 60731.
LCM(60719,60731) = 607191 × 111 × 55211
LCM(60719,60731) = 3687525589
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