What is the Least Common Multiple of 7937 and 7954?
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 7937 and 7954 is 63130898.
LCM(7937,7954) = 63130898
Least Common Multiple of 7937 and 7954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7937 and 7954, than apply into the LCM equation.
GCF(7937,7954) = 1
LCM(7937,7954) = ( 7937 × 7954) / 1
LCM(7937,7954) = 63130898 / 1
LCM(7937,7954) = 63130898
Least Common Multiple (LCM) of 7937 and 7954 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7937 and 7954. First we will calculate the prime factors of 7937 and 7954.
Prime Factorization of 7937
Prime factors of 7937 are 7937. Prime factorization of 7937 in exponential form is:
7937 = 79371
Prime Factorization of 7954
Prime factors of 7954 are 2, 41, 97. Prime factorization of 7954 in exponential form is:
7954 = 21 × 411 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 7937 and 7954.
LCM(7937,7954) = 79371 × 21 × 411 × 971
LCM(7937,7954) = 63130898
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Related Least Common Multiples of 7954
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