What is the Least Common Multiple of 942 and 946?
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 942 and 946 is 445566.
LCM(942,946) = 445566
Least Common Multiple of 942 and 946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 942 and 946, than apply into the LCM equation.
GCF(942,946) = 2
LCM(942,946) = ( 942 × 946) / 2
LCM(942,946) = 891132 / 2
LCM(942,946) = 445566
Least Common Multiple (LCM) of 942 and 946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 946. First we will calculate the prime factors of 942 and 946.
Prime Factorization of 942
Prime factors of 942 are 2, 3, 157. Prime factorization of 942 in exponential form is:
942 = 21 × 31 × 1571
Prime Factorization of 946
Prime factors of 946 are 2, 11, 43. Prime factorization of 946 in exponential form is:
946 = 21 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 946.
LCM(942,946) = 21 × 31 × 1571 × 111 × 431
LCM(942,946) = 445566
Related Least Common Multiples of 942
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Related Least Common Multiples of 946
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