What is the Least Common Multiple of 67020 and 67031?
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 67020 and 67031 is 4492417620.
LCM(67020,67031) = 4492417620
Least Common Multiple of 67020 and 67031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67020 and 67031, than apply into the LCM equation.
GCF(67020,67031) = 1
LCM(67020,67031) = ( 67020 × 67031) / 1
LCM(67020,67031) = 4492417620 / 1
LCM(67020,67031) = 4492417620
Least Common Multiple (LCM) of 67020 and 67031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67020 and 67031. First we will calculate the prime factors of 67020 and 67031.
Prime Factorization of 67020
Prime factors of 67020 are 2, 3, 5, 1117. Prime factorization of 67020 in exponential form is:
67020 = 22 × 31 × 51 × 11171
Prime Factorization of 67031
Prime factors of 67031 are 17, 3943. Prime factorization of 67031 in exponential form is:
67031 = 171 × 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 67020 and 67031.
LCM(67020,67031) = 22 × 31 × 51 × 11171 × 171 × 39431
LCM(67020,67031) = 4492417620
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