What is the Least Common Multiple of 60985 and 60991?
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 60985 and 60991 is 3719536135.
LCM(60985,60991) = 3719536135
Least Common Multiple of 60985 and 60991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60985 and 60991, than apply into the LCM equation.
GCF(60985,60991) = 1
LCM(60985,60991) = ( 60985 × 60991) / 1
LCM(60985,60991) = 3719536135 / 1
LCM(60985,60991) = 3719536135
Least Common Multiple (LCM) of 60985 and 60991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60985 and 60991. First we will calculate the prime factors of 60985 and 60991.
Prime Factorization of 60985
Prime factors of 60985 are 5, 12197. Prime factorization of 60985 in exponential form is:
60985 = 51 × 121971
Prime Factorization of 60991
Prime factors of 60991 are 7, 8713. Prime factorization of 60991 in exponential form is:
60991 = 71 × 87131
Now multiplying the highest exponent prime factors to calculate the LCM of 60985 and 60991.
LCM(60985,60991) = 51 × 121971 × 71 × 87131
LCM(60985,60991) = 3719536135
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