What is the Least Common Multiple of 962 and 967?
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 962 and 967 is 930254.
LCM(962,967) = 930254
Least Common Multiple of 962 and 967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 962 and 967, than apply into the LCM equation.
GCF(962,967) = 1
LCM(962,967) = ( 962 × 967) / 1
LCM(962,967) = 930254 / 1
LCM(962,967) = 930254
Least Common Multiple (LCM) of 962 and 967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 967. First we will calculate the prime factors of 962 and 967.
Prime Factorization of 962
Prime factors of 962 are 2, 13, 37. Prime factorization of 962 in exponential form is:
962 = 21 × 131 × 371
Prime Factorization of 967
Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:
967 = 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 967.
LCM(962,967) = 21 × 131 × 371 × 9671
LCM(962,967) = 930254
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