What is the Least Common Multiple of 60731 and 60736?
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 60731 and 60736 is 3688558016.
LCM(60731,60736) = 3688558016
Least Common Multiple of 60731 and 60736 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60731 and 60736, than apply into the LCM equation.
GCF(60731,60736) = 1
LCM(60731,60736) = ( 60731 × 60736) / 1
LCM(60731,60736) = 3688558016 / 1
LCM(60731,60736) = 3688558016
Least Common Multiple (LCM) of 60731 and 60736 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60731 and 60736. First we will calculate the prime factors of 60731 and 60736.
Prime Factorization of 60731
Prime factors of 60731 are 11, 5521. Prime factorization of 60731 in exponential form is:
60731 = 111 × 55211
Prime Factorization of 60736
Prime factors of 60736 are 2, 13, 73. Prime factorization of 60736 in exponential form is:
60736 = 26 × 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 60731 and 60736.
LCM(60731,60736) = 111 × 55211 × 26 × 131 × 731
LCM(60731,60736) = 3688558016
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