What is the Least Common Multiple of 60718 and 60737?
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 60718 and 60737 is 3687829166.
LCM(60718,60737) = 3687829166
Least Common Multiple of 60718 and 60737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60718 and 60737, than apply into the LCM equation.
GCF(60718,60737) = 1
LCM(60718,60737) = ( 60718 × 60737) / 1
LCM(60718,60737) = 3687829166 / 1
LCM(60718,60737) = 3687829166
Least Common Multiple (LCM) of 60718 and 60737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60718 and 60737. First we will calculate the prime factors of 60718 and 60737.
Prime Factorization of 60718
Prime factors of 60718 are 2, 7, 4337. Prime factorization of 60718 in exponential form is:
60718 = 21 × 71 × 43371
Prime Factorization of 60737
Prime factors of 60737 are 60737. Prime factorization of 60737 in exponential form is:
60737 = 607371
Now multiplying the highest exponent prime factors to calculate the LCM of 60718 and 60737.
LCM(60718,60737) = 21 × 71 × 43371 × 607371
LCM(60718,60737) = 3687829166
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