What is the Least Common Multiple of 60967 and 60985?
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 60967 and 60985 is 3718072495.
LCM(60967,60985) = 3718072495
Least Common Multiple of 60967 and 60985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60967 and 60985, than apply into the LCM equation.
GCF(60967,60985) = 1
LCM(60967,60985) = ( 60967 × 60985) / 1
LCM(60967,60985) = 3718072495 / 1
LCM(60967,60985) = 3718072495
Least Common Multiple (LCM) of 60967 and 60985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60967 and 60985. First we will calculate the prime factors of 60967 and 60985.
Prime Factorization of 60967
Prime factors of 60967 are 41, 1487. Prime factorization of 60967 in exponential form is:
60967 = 411 × 14871
Prime Factorization of 60985
Prime factors of 60985 are 5, 12197. Prime factorization of 60985 in exponential form is:
60985 = 51 × 121971
Now multiplying the highest exponent prime factors to calculate the LCM of 60967 and 60985.
LCM(60967,60985) = 411 × 14871 × 51 × 121971
LCM(60967,60985) = 3718072495
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