What is the Least Common Multiple of 962 and 975?
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 975 is 72150.
LCM(962,975) = 72150
Least Common Multiple of 962 and 975 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 975, than apply into the LCM equation.
GCF(962,975) = 13
LCM(962,975) = ( 962 × 975) / 13
LCM(962,975) = 937950 / 13
LCM(962,975) = 72150
Least Common Multiple (LCM) of 962 and 975 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 975. First we will calculate the prime factors of 962 and 975.
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 975
Prime factors of 975 are 3, 5, 13. Prime factorization of 975 in exponential form is:
975 = 31 × 52 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 975.
LCM(962,975) = 21 × 131 × 371 × 31 × 52
LCM(962,975) = 72150
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