What is the Least Common Multiple of 72962 and 72972?
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 72962 and 72972 is 2662091532.
LCM(72962,72972) = 2662091532
Least Common Multiple of 72962 and 72972 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72962 and 72972, than apply into the LCM equation.
GCF(72962,72972) = 2
LCM(72962,72972) = ( 72962 × 72972) / 2
LCM(72962,72972) = 5324183064 / 2
LCM(72962,72972) = 2662091532
Least Common Multiple (LCM) of 72962 and 72972 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72962 and 72972. First we will calculate the prime factors of 72962 and 72972.
Prime Factorization of 72962
Prime factors of 72962 are 2, 191. Prime factorization of 72962 in exponential form is:
72962 = 21 × 1912
Prime Factorization of 72972
Prime factors of 72972 are 2, 3, 2027. Prime factorization of 72972 in exponential form is:
72972 = 22 × 32 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 72962 and 72972.
LCM(72962,72972) = 22 × 1912 × 32 × 20271
LCM(72962,72972) = 2662091532
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