What is the Least Common Multiple of 60987 and 60995?
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 60987 and 60995 is 3719902065.
LCM(60987,60995) = 3719902065
Least Common Multiple of 60987 and 60995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60987 and 60995, than apply into the LCM equation.
GCF(60987,60995) = 1
LCM(60987,60995) = ( 60987 × 60995) / 1
LCM(60987,60995) = 3719902065 / 1
LCM(60987,60995) = 3719902065
Least Common Multiple (LCM) of 60987 and 60995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60987 and 60995. First we will calculate the prime factors of 60987 and 60995.
Prime Factorization of 60987
Prime factors of 60987 are 3, 29, 701. Prime factorization of 60987 in exponential form is:
60987 = 31 × 291 × 7011
Prime Factorization of 60995
Prime factors of 60995 are 5, 11, 1109. Prime factorization of 60995 in exponential form is:
60995 = 51 × 111 × 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 60987 and 60995.
LCM(60987,60995) = 31 × 291 × 7011 × 51 × 111 × 11091
LCM(60987,60995) = 3719902065
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