What is the Least Common Multiple of 970 and 979?
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 970 and 979 is 949630.
LCM(970,979) = 949630
Least Common Multiple of 970 and 979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 970 and 979, than apply into the LCM equation.
GCF(970,979) = 1
LCM(970,979) = ( 970 × 979) / 1
LCM(970,979) = 949630 / 1
LCM(970,979) = 949630
Least Common Multiple (LCM) of 970 and 979 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 970 and 979. First we will calculate the prime factors of 970 and 979.
Prime Factorization of 970
Prime factors of 970 are 2, 5, 97. Prime factorization of 970 in exponential form is:
970 = 21 × 51 × 971
Prime Factorization of 979
Prime factors of 979 are 11, 89. Prime factorization of 979 in exponential form is:
979 = 111 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 970 and 979.
LCM(970,979) = 21 × 51 × 971 × 111 × 891
LCM(970,979) = 949630
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