What is the Least Common Multiple of 36979 and 36983?
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 36979 and 36983 is 1367594357.
LCM(36979,36983) = 1367594357
Least Common Multiple of 36979 and 36983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36979 and 36983, than apply into the LCM equation.
GCF(36979,36983) = 1
LCM(36979,36983) = ( 36979 × 36983) / 1
LCM(36979,36983) = 1367594357 / 1
LCM(36979,36983) = 1367594357
Least Common Multiple (LCM) of 36979 and 36983 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36979 and 36983. First we will calculate the prime factors of 36979 and 36983.
Prime Factorization of 36979
Prime factors of 36979 are 36979. Prime factorization of 36979 in exponential form is:
36979 = 369791
Prime Factorization of 36983
Prime factors of 36983 are 31, 1193. Prime factorization of 36983 in exponential form is:
36983 = 311 × 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 36979 and 36983.
LCM(36979,36983) = 369791 × 311 × 11931
LCM(36979,36983) = 1367594357
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