What is the Least Common Multiple of 60736 and 60751?
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 60736 and 60751 is 3689772736.
LCM(60736,60751) = 3689772736
Least Common Multiple of 60736 and 60751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60736 and 60751, than apply into the LCM equation.
GCF(60736,60751) = 1
LCM(60736,60751) = ( 60736 × 60751) / 1
LCM(60736,60751) = 3689772736 / 1
LCM(60736,60751) = 3689772736
Least Common Multiple (LCM) of 60736 and 60751 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60736 and 60751. First we will calculate the prime factors of 60736 and 60751.
Prime Factorization of 60736
Prime factors of 60736 are 2, 13, 73. Prime factorization of 60736 in exponential form is:
60736 = 26 × 131 × 731
Prime Factorization of 60751
Prime factors of 60751 are 79, 769. Prime factorization of 60751 in exponential form is:
60751 = 791 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 60736 and 60751.
LCM(60736,60751) = 26 × 131 × 731 × 791 × 7691
LCM(60736,60751) = 3689772736
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