What is the Least Common Multiple of 974 and 980?
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 974 and 980 is 477260.
LCM(974,980) = 477260
Least Common Multiple of 974 and 980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 974 and 980, than apply into the LCM equation.
GCF(974,980) = 2
LCM(974,980) = ( 974 × 980) / 2
LCM(974,980) = 954520 / 2
LCM(974,980) = 477260
Least Common Multiple (LCM) of 974 and 980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 974 and 980. First we will calculate the prime factors of 974 and 980.
Prime Factorization of 974
Prime factors of 974 are 2, 487. Prime factorization of 974 in exponential form is:
974 = 21 × 4871
Prime Factorization of 980
Prime factors of 980 are 2, 5, 7. Prime factorization of 980 in exponential form is:
980 = 22 × 51 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 974 and 980.
LCM(974,980) = 22 × 4871 × 51 × 72
LCM(974,980) = 477260
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