What is the Least Common Multiple of 67609 and 67622?
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 67609 and 67622 is 4571855798.
LCM(67609,67622) = 4571855798
Least Common Multiple of 67609 and 67622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67609 and 67622, than apply into the LCM equation.
GCF(67609,67622) = 1
LCM(67609,67622) = ( 67609 × 67622) / 1
LCM(67609,67622) = 4571855798 / 1
LCM(67609,67622) = 4571855798
Least Common Multiple (LCM) of 67609 and 67622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67609 and 67622. First we will calculate the prime factors of 67609 and 67622.
Prime Factorization of 67609
Prime factors of 67609 are 17, 41, 97. Prime factorization of 67609 in exponential form is:
67609 = 171 × 411 × 971
Prime Factorization of 67622
Prime factors of 67622 are 2, 33811. Prime factorization of 67622 in exponential form is:
67622 = 21 × 338111
Now multiplying the highest exponent prime factors to calculate the LCM of 67609 and 67622.
LCM(67609,67622) = 171 × 411 × 971 × 21 × 338111
LCM(67609,67622) = 4571855798
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