What is the Least Common Multiple of 68620 and 68635?
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 68620 and 68635 is 941946740.
LCM(68620,68635) = 941946740
Least Common Multiple of 68620 and 68635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68620 and 68635, than apply into the LCM equation.
GCF(68620,68635) = 5
LCM(68620,68635) = ( 68620 × 68635) / 5
LCM(68620,68635) = 4709733700 / 5
LCM(68620,68635) = 941946740
Least Common Multiple (LCM) of 68620 and 68635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68620 and 68635. First we will calculate the prime factors of 68620 and 68635.
Prime Factorization of 68620
Prime factors of 68620 are 2, 5, 47, 73. Prime factorization of 68620 in exponential form is:
68620 = 22 × 51 × 471 × 731
Prime Factorization of 68635
Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:
68635 = 51 × 71 × 371 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 68620 and 68635.
LCM(68620,68635) = 22 × 51 × 471 × 731 × 71 × 371 × 531
LCM(68620,68635) = 941946740
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