What is the Least Common Multiple of 2958 and 2974?
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 2958 and 2974 is 4398546.
LCM(2958,2974) = 4398546
Least Common Multiple of 2958 and 2974 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2958 and 2974, than apply into the LCM equation.
GCF(2958,2974) = 2
LCM(2958,2974) = ( 2958 × 2974) / 2
LCM(2958,2974) = 8797092 / 2
LCM(2958,2974) = 4398546
Least Common Multiple (LCM) of 2958 and 2974 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2958 and 2974. First we will calculate the prime factors of 2958 and 2974.
Prime Factorization of 2958
Prime factors of 2958 are 2, 3, 17, 29. Prime factorization of 2958 in exponential form is:
2958 = 21 × 31 × 171 × 291
Prime Factorization of 2974
Prime factors of 2974 are 2, 1487. Prime factorization of 2974 in exponential form is:
2974 = 21 × 14871
Now multiplying the highest exponent prime factors to calculate the LCM of 2958 and 2974.
LCM(2958,2974) = 21 × 31 × 171 × 291 × 14871
LCM(2958,2974) = 4398546
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